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Finding the Fourth Proportional to 911.91, 1,258.48 and 519.06

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Solution

The fourth proportional to 911.91, 1,258.48 and 519.06 is: 716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.91 : 1,258.48 = 519.06 : x
  2. Step 2: Convert to fraction form
    911.91/1,258.48 = 519.06/x
  3. Step 3: Cross multiply
    911.91x = 1,258.48 × 519.06
  4. Step 4: Simplify right side
    911.91x = 653,219.04
  5. Step 5: Solve for x
    x = 653,219.04/911.91
  6. Step 6: Final answer
    x = 716.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.